1. Round Goby….A Big Problem for the Great Lakes

2. A Container Ship from Europe to the United States
How They got There:
A Container Ship from Europe to the United States

4. 14 years later 2
640,000,000

5. How did the fish population grow so fast?

6. Exponential Growth Great for finding out: Populations Radiation
Disease
How rich you can get from an investment
How much money you owe the bank
Your credit card bill

7. Exponential Growth Equation
Y = a(b) x
Growth
or Decay
Factor
Starting
amount

8. How much will you owe the bank after 20 years?
You decide to buy a house for $ The bank loans you the money at 14% interest (a growth rate of 1.14).
Can you find the equation for the amount you owe the bank: hint: Find the initial amount. Find the growth factor.
Y = 3000(1.14)x
How much will you owe the bank after 20 years?
$41,230.47

9. Prison Population the United States between 1986-2003

10. year
Population
1986
522,000
1987
560,812
1988
603,732
1989
680,907
1990
739,980
2003
1,500,000
Y = 522,000(1.07)x

11. THE PROBLEM WITH BUNNIES

12. A Couple of Rabbits Introduced to Australia by England in 1827

13. By 1990: 300,000,000 Rabbits

14. Plant Life before Rabbits
After
Rabbits

15. Yearly Cost to Farmers: $600,000,000

16. Y = 100(1.8)x What does the growth look like on a graph? Rabbit Data
Equation for bunny population growth:
Y = 100(1.8)x
Rabbit Data
What does the growth look like on a graph?
Generations
Population
100 1
180 2
325 3
583 4
1050

17. Example situation: you save $5 each week
The graph is special.
Common Graph
aka: linear graph
Exponential Graph
Example situation: I get one dollar the first week and double the amount each week.
Example situation: you save $5 each week

18. 4. 9 3 x y 2 1 8 32
Y = 2(4)x

19. How well do you understand exponential graphs and equations?
3: Totally Understand
2: Understand some parts
1: Unsure